Answer:
Step-by-step explanation:
If the mean of 15 students is 71.5, then total score = 15 X 71.5 = 1072.5
The median score is 62, meaning that, the combined score of two students = 62 X 2 = 124
The difference of 1072.5 and 124 = 948.5, this represents the total score of 13 other students
∴ The mean score of 13 students = 948.5/13 = 73
In conclusion, it was only very few students that took the exam and majority of other students absconded from the exam. Majority of students scored averagely above 70.
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
I'm pretty sure u chose all the ones with - in it
ANSWER
A. 73
EXPLANATION
The given expression is
![(2{x})^{2} - 3{y}^{2}](https://tex.z-dn.net/?f=%282%7Bx%7D%29%5E%7B2%7D%20%20-%203%7By%7D%5E%7B2%7D%20)
We substitute x=5 and y=3 to obtain:
![(2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9](https://tex.z-dn.net/?f=%282%20%5Ctimes%205%29%5E%7B2%7D%20%20-%203%7B%283%29%7D%5E%7B2%7D%20%20%3D%20%20%7B10%7D%5E%7B2%7D%20%20-%203%20%5Ctimes%209)
This simplifies to,
![= 100 - 27](https://tex.z-dn.net/?f=%20%3D%20100%20-%2027)
![= 73](https://tex.z-dn.net/?f=%20%3D%2073)
The correct choice is A.
A(1, 1), B(7, 1), C(1, 9)
AB = 7 - 1 = 6
AC = 9 - 1 = 8
Use the Pythagorean theorem:
AB² + AC² = BC²
Substitute:
BC² = 6² + 8²
BC² = 36 + 64
BC² = 100 → BC = √100 → BC = 10
The perimeter of ΔABC:
P = 6 + 8 + 10 = 24
<h3>Answer: 24 units</h3>